Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

22nd July 1997

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (7 + sqrt(2))(7 - sqrt(2)).
2
Completing the Square3 marks
Write x^2 - 8x - 12 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 12. Work out y when x = 9.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of p and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 4 wins. How many games did they play?

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